Subgroups — C₂×C₇×#3188 #13237946

Order 1792.

2718 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×#525	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₇×#121	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3188	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₇×#484	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₇×#481	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₇×#482	C₂	1	2	yes	maximal, complemented
7	C₂×C₇×#466	C₂	1	2	yes	maximal, complemented
8	C₂×C₇×#465	C₂	1	2	yes	maximal, complemented
9	C₂×C₇×#449	C₂	1	2	yes	maximal, complemented
10	C₂×C₇×#450	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₇×#447	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×C₇×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×C₇×#41	C₂²	1	1	yes	characteristic, complemented
14	C₂³×C₇×D₄	—	2	1	no	—
15	C₂³×C₇×D₄	C₂²	1	1	yes	characteristic
16	C₂⁴×C₄×C₇	C₂²	1	1	yes	characteristic
17	C₂²×C₇×SD₁₆	C₂²	1	2	yes	complemented
18	C₂²×C₇×D₈	C₂²	1	2	yes	complemented
19	C₂³×C₇×C₈	C₂²	1	2	yes	complemented
20	C₇×#525	—	2	4	no	—
21	C₇×#525	C₂²	1	8	yes	complemented
22	C₂×C₇×#123	—	2	1	no	—
23	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
24	C₂×C₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
25	C₂×C₇×#121	—	2	1	no	—
26	C₂×C₇×#121	—	2	1	no	—
27	C₂×C₇×#121	—	2	4	no	—
28	C₂×C₇×#121	C₂²	1	1	yes	characteristic
29	C₂×C₇×#121	C₂²	1	2	yes	—
30	C₂×C₇×#121	C₂²	1	2	yes	—
31	C₂×C₇×#121	C₂²	1	8	yes	complemented
32	C₂×C₇×#121	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₇×#120	—	2	1	no	—
34	C₂×C₄×C₇×D₄	—	2	1	no	—
35	C₂×C₄×C₇×D₄	—	2	1	no	—
36	C₂×C₇×#117	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
38	C₂²×C₇×C₂²⋊C₄	—	2	1	no	—
39	C₇×#484	C₂²	1	8	yes	complemented
40	C₇×#482	C₂²	1	16	yes	complemented
41	C₇×#481	C₂²	1	8	yes	complemented
42	C₇×#466	C₂²	1	16	yes	complemented
43	C₇×#465	C₂²	1	16	yes	complemented
44	C₇×#450	C₂²	1	8	yes	complemented
45	C₇×#449	C₂²	1	16	yes	complemented
46	C₇×#447	C₂²	1	8	yes	complemented
47	C₂×C₇×#107	C₂²	1	2	yes	complemented
48	C₂×C₇×#106	C₂²	1	2	yes	complemented
49	C₂×C₇×#103	C₂²	1	2	yes	complemented
50	C₂×C₇×#102	C₂²	1	2	yes	complemented
51	C₂×C₇×#102	C₂²	1	2	yes	complemented
52	C₂×C₇×#102	C₂²	1	2	yes	complemented
53	C₂×C₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
54	C₂×C₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
55	C₂×C₇×C₂²⋊C₈	C₂²	1	8	yes	complemented
56	C₂×C₇×C₂²⋊C₈	C₂²	1	2	yes	complemented
57	C₂×#3188	C₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
58	C₂⁵×C₇	—	2	1	no	—
59	C₂⁵×C₇	D₄	1	1	yes	characteristic
60	C₂×C₇×#41	—	2	2	no	—
61	C₂×C₇×#41	—	4	4	no	—
62	C₂×C₇×#41	C₂³	1	4	yes	complemented
63	C₂²×C₇×Q₈	C₂³	1	1	yes	characteristic
64	C₂²×C₇×D₄	—	2	2	no	—
65	C₂²×C₇×D₄	—	2	2	no	—
66	C₂²×C₇×D₄	—	2	8	no	—
67	C₂²×C₇×D₄	—	2	1	no	—
68	C₂²×C₇×D₄	—	2	1	no	—
69	C₂²×C₇×D₄	—	2	1	no	—
70	C₂²×C₇×D₄	—	2	2	no	—
71	C₂²×C₇×D₄	—	2	1	no	—
72	C₂²×C₇×D₄	—	4	4	no	—
73	C₂²×C₇×D₄	—	4	8	no	—
74	C₂²×C₇×D₄	C₂³	1	2	yes	—
75	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
76	C₂²×C₇×D₄	C₂³	1	4	yes	—
77	C₂³×C₄×C₇	—	2	1	no	—
78	C₂³×C₄×C₇	—	2	1	no	—
79	C₂³×C₄×C₇	—	4	4	no	—
80	C₂³×C₄×C₇	D₄	1	1	yes	characteristic
81	C₂³×C₄×C₇	D₄	1	1	yes	characteristic
82	C₂³×C₄×C₇	D₄	1	1	yes	characteristic
83	C₂³×C₄×C₇	D₄	1	4	yes	—
84	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
85	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
86	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
87	C₂³×C₄×C₇	C₂³	1	4	yes	—
88	C₂×C₇×SD₁₆	—	4	4	no	—
89	C₂×C₇×SD₁₆	C₂³	1	8	yes	complemented
90	C₂×C₇×D₈	—	4	4	no	—
91	C₂×C₇×D₈	C₂³	1	8	yes	complemented
92	C₂²×C₇×C₈	—	4	4	no	—
93	C₂²×C₇×C₈	C₂³	1	2	yes	—
94	C₂²×C₇×C₈	C₂³	1	2	yes	—
95	C₂²×C₇×C₈	C₂³	1	8	yes	complemented
96	C₇×#123	—	2	8	no	—
97	C₇×C₂²⋊Q₈	—	2	2	no	—
98	C₇×C₂²⋊Q₈	—	2	2	no	—
99	C₇×C₂²⋊Q₈	C₂³	1	4	yes	—
100	C₇×C₂²⋊Q₈	C₂³	1	4	yes	complemented
101	C₇×#121	—	2	4	no	—
102	C₇×#121	—	2	4	no	—
103	C₇×#121	—	2	8	no	—
104	C₇×#121	—	2	8	no	—
105	C₇×#121	—	2	2	no	—
106	C₇×#121	—	2	2	no	—
107	C₇×#121	C₂³	1	8	yes	—
108	C₇×#121	C₂³	1	4	yes	—
109	C₇×#121	C₂³	1	8	yes	—
110	C₇×#121	C₂³	1	4	yes	complemented
111	C₇×#120	—	2	8	no	—
112	C₄×C₇×D₄	—	2	8	no	—
113	C₄×C₇×D₄	—	2	8	no	—
114	C₇×#117	—	2	2	no	—
115	C₇×#117	C₂³	1	4	yes	complemented
116	C₂×C₇×C₄⋊C₄	—	2	2	no	—
117	C₂×C₇×C₄⋊C₄	—	2	1	no	—
118	C₂×C₇×C₄⋊C₄	—	2	1	no	—
119	C₂×C₇×C₄⋊C₄	—	2	1	no	—
120	C₂×C₇×C₄⋊C₄	C₂³	1	4	yes	—
121	C₂×C₇×C₄⋊C₄	C₂³	1	2	yes	—
122	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
123	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
124	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
125	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
126	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
127	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
128	C₂×C₇×C₂²⋊C₄	—	2	2	no	—
129	C₂×C₇×C₂²⋊C₄	—	2	8	no	—
130	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
131	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
132	C₂×C₄²×C₇	—	2	1	no	—
133	C₇×#107	C₂³	1	8	yes	complemented
134	C₇×#106	C₂³	1	8	yes	complemented
135	C₇×#103	C₂³	1	8	yes	complemented
136	C₇×#102	C₂³	1	8	yes	complemented
137	C₇×#102	C₂³	1	8	yes	complemented
138	C₇×#102	C₂³	1	8	yes	complemented
139	C₇×C₂²⋊C₈	C₂³	1	4	yes	—
140	C₇×C₂²⋊C₈	C₂³	1	4	yes	—
141	C₇×C₂²⋊C₈	C₂³	1	8	yes	complemented
142	C₂×#525	C₂×C₇	1	1	yes	characteristic, complemented
143	C₂²×#121	C₂×C₇	1	1	yes	characteristic, complemented
144	#3188	C₂×C₇	1	16	yes	direct product factor
145	C₂×#484	C₂×C₇	1	1	yes	characteristic, complemented
146	C₂×#481	C₂×C₇	1	1	yes	characteristic, complemented
147	C₂×#482	C₂×C₇	1	2	yes	complemented
148	C₂×#466	C₂×C₇	1	2	yes	complemented
149	C₂×#465	C₂×C₇	1	2	yes	complemented
150	C₂×#449	C₂×C₇	1	2	yes	complemented
151	C₂×#450	C₂×C₇	1	1	yes	characteristic, complemented
152	C₂×#447	C₂×C₇	1	1	yes	characteristic, complemented
153	C₂²×C₂²⋊C₈	C₂×C₇	1	1	yes	characteristic, complemented
154	C₂⁴×C₇	—	2	4	no	—
155	C₂⁴×C₇	—	2	4	no	—
156	C₂⁴×C₇	—	2	4	no	—
157	C₂⁴×C₇	—	2	1	no	—
158	C₂⁴×C₇	—	2	2	no	—
159	C₂⁴×C₇	—	4	2	no	—
160	C₂⁴×C₇	—	4	4	no	—
161	C₂⁴×C₇	—	4	4	no	—
162	C₂⁴×C₇	—	4	4	no	—
163	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
164	C₂⁴×C₇	C₂×D₄	1	4	yes	—
165	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
166	C₂⁴×C₇	C₂×D₄	1	1	yes	characteristic
167	C₇×#41	—	4	8	no	—
168	C₇×#41	—	4	8	no	—
169	C₂×C₇×Q₈	—	2	1	no	—
170	C₂×C₇×Q₈	—	2	4	no	—
171	C₂×C₇×Q₈	C₂⁴	1	2	yes	—
172	C₂×C₇×D₄	—	2	4	no	—
173	C₂×C₇×D₄	—	2	4	no	—
174	C₂×C₇×D₄	—	2	4	no	—
175	C₂×C₇×D₄	—	2	8	no	—
176	C₂×C₇×D₄	—	2	8	no	—
177	C₂×C₇×D₄	—	2	4	no	—
178	C₂×C₇×D₄	—	2	2	no	—
179	C₂×C₇×D₄	—	2	1	no	—
180	C₂×C₇×D₄	—	2	4	no	—
181	C₂×C₇×D₄	—	2	4	no	—
182	C₂×C₇×D₄	—	2	4	no	—
183	C₂×C₇×D₄	—	4	8	no	—
184	C₂×C₇×D₄	—	4	4	no	—
185	C₂×C₇×D₄	—	4	8	no	—
186	C₂×C₇×D₄	—	4	32	no	—
187	C₂×C₇×D₄	—	4	8	no	—
188	C₂×C₇×D₄	—	4	4	no	—
189	C₂×C₇×D₄	—	4	4	no	—
190	C₂×C₇×D₄	—	4	4	no	—
191	C₂×C₇×D₄	—	4	8	no	—
192	C₂×C₇×D₄	C₂⁴	1	4	yes	—
193	C₂×C₇×D₄	C₂⁴	1	2	yes	—
194	C₂²×C₄×C₇	—	2	4	no	—
195	C₂²×C₄×C₇	—	2	4	no	—
196	C₂²×C₄×C₇	—	2	4	no	—
197	C₂²×C₄×C₇	—	2	4	no	—
198	C₂²×C₄×C₇	—	2	1	no	—
199	C₂²×C₄×C₇	—	2	1	no	—
200	C₂²×C₄×C₇	—	2	1	no	—
201	C₂²×C₄×C₇	—	2	2	no	—
202	C₂²×C₄×C₇	—	2	4	no	—
203	C₂²×C₄×C₇	—	4	8	no	—
204	C₂²×C₄×C₇	—	4	8	no	—
205	C₂²×C₄×C₇	—	4	2	no	—
206	C₂²×C₄×C₇	—	4	2	no	—
207	C₂²×C₄×C₇	—	4	2	no	—
208	C₂²×C₄×C₇	—	4	4	no	—
209	C₂²×C₄×C₇	—	4	4	no	—
210	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
211	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
212	C₂²×C₄×C₇	C₂×D₄	1	2	yes	—
213	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
214	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
215	C₂²×C₄×C₇	C₂×D₄	1	1	yes	characteristic
216	C₂²×C₄×C₇	C₂×D₄	1	4	yes	—
217	C₂²×C₄×C₇	C₂×D₄	1	4	yes	—
218	C₂²×C₄×C₇	C₂×D₄	1	4	yes	—
219	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
220	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
221	C₂²×C₄×C₇	C₂⁴	1	2	yes	—
222	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
223	C₇×SD₁₆	—	4	8	no	—
224	C₇×D₈	—	4	8	no	—
225	C₂×C₇×C₈	—	2	4	no	—
226	C₂×C₇×C₈	—	2	4	no	—
227	C₂×C₇×C₈	—	4	8	no	—
228	C₂×C₇×C₈	C₂⁴	1	4	yes	—
229	C₂×C₇×C₈	C₂⁴	1	4	yes	—
230	C₇×C₄⋊C₄	—	2	4	no	—
231	C₇×C₄⋊C₄	—	2	2	no	—
232	C₇×C₄⋊C₄	—	2	4	no	—
233	C₇×C₄⋊C₄	—	2	4	no	—
234	C₇×C₄⋊C₄	—	2	1	no	—
235	C₇×C₄⋊C₄	—	2	1	no	—
236	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
237	C₇×C₄⋊C₄	C₂⁴	1	2	yes	—
238	C₇×C₄⋊C₄	C₂⁴	1	4	yes	—
239	C₇×C₂²⋊C₄	—	2	4	no	—
240	C₇×C₂²⋊C₄	—	2	4	no	—
241	C₇×C₂²⋊C₄	—	2	4	no	—
242	C₇×C₂²⋊C₄	—	2	8	no	—
243	C₇×C₂²⋊C₄	—	2	8	no	—
244	C₇×C₂²⋊C₄	—	2	4	no	—
245	C₇×C₂²⋊C₄	—	2	4	no	—
246	C₄²×C₇	—	2	4	no	—
247	C₂²×#41	C₂²×C₇	1	1	yes	characteristic, complemented
248	C₂³×D₄	—	2	1	no	—
249	C₂³×D₄	C₂²×C₇	1	1	yes	characteristic
250	C₂⁴×C₄	C₂²×C₇	1	1	yes	characteristic
251	C₂²×SD₁₆	C₂²×C₇	1	2	yes	complemented
252	C₂²×D₈	C₂²×C₇	1	2	yes	complemented
253	C₂³×C₈	C₂²×C₇	1	2	yes	complemented
254	#525	—	2	4	no	—
255	#525	C₂²×C₇	1	8	yes	complemented
256	C₂×#123	—	2	1	no	—
257	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic
258	C₂×C₂²⋊Q₈	C₂²×C₇	1	1	yes	characteristic, complemented
259	C₂×#121	—	2	1	no	—
260	C₂×#121	—	2	1	no	—
261	C₂×#121	—	2	4	no	—
262	C₂×#121	C₂²×C₇	1	2	yes	—
263	C₂×#121	C₂²×C₇	1	1	yes	characteristic
264	C₂×#121	C₂²×C₇	1	2	yes	—
265	C₂×#121	C₂²×C₇	1	8	yes	complemented
266	C₂×#121	C₂²×C₇	1	1	yes	characteristic, complemented
267	C₂×#120	—	2	1	no	—
268	C₂×C₄×D₄	—	2	1	no	—
269	C₂×C₄×D₄	—	2	1	no	—
270	C₂×#117	C₂²×C₇	1	1	yes	characteristic, complemented
271	C₂²×C₄⋊C₄	C₂²×C₇	1	1	yes	characteristic
272	C₂²×C₂²⋊C₄	—	2	1	no	—
273	#484	C₂²×C₇	1	8	yes	complemented
274	#482	C₂²×C₇	1	16	yes	complemented
275	#481	C₂²×C₇	1	8	yes	complemented
276	#466	C₂²×C₇	1	16	yes	complemented
277	#465	C₂²×C₇	1	16	yes	complemented
278	#450	C₂²×C₇	1	8	yes	complemented
279	#449	C₂²×C₇	1	16	yes	complemented
280	#447	C₂²×C₇	1	8	yes	complemented
281	C₂×#107	C₂²×C₇	1	2	yes	complemented
282	C₂×#106	C₂²×C₇	1	2	yes	complemented
283	C₂×#103	C₂²×C₇	1	2	yes	complemented
284	C₂×#102	C₂²×C₇	1	2	yes	complemented
285	C₂×#102	C₂²×C₇	1	2	yes	complemented
286	C₂×#102	C₂²×C₇	1	2	yes	complemented
287	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic
288	C₂×C₂²⋊C₈	C₂²×C₇	1	1	yes	characteristic
289	C₂×C₂²⋊C₈	C₂²×C₇	1	8	yes	complemented
290	C₂×C₂²⋊C₈	C₂²×C₇	1	2	yes	complemented
291	C₂³×C₇	—	2	2	no	—
292	C₂³×C₇	—	2	2	no	—
293	C₂³×C₇	—	2	2	no	—
294	C₂³×C₇	—	2	2	no	—
295	C₂³×C₇	—	2	2	no	—
296	C₂³×C₇	—	2	8	no	—
297	C₂³×C₇	—	2	2	no	—
298	C₂³×C₇	—	2	8	no	—
299	C₂³×C₇	—	2	2	no	—
300	C₂³×C₇	—	2	2	no	—
301	C₂³×C₇	—	2	4	no	—
302	C₂³×C₇	—	4	4	no	—
303	C₂³×C₇	—	4	16	no	—
304	C₂³×C₇	—	4	8	no	—
305	C₂³×C₇	—	4	8	no	—
306	C₂³×C₇	—	4	2	no	—
307	C₂³×C₇	—	4	4	no	—
308	C₂³×C₇	—	4	2	no	—
309	C₂³×C₇	—	4	8	no	—
310	C₂³×C₇	—	4	4	no	—
311	C₂³×C₇	—	4	4	no	—
312	C₂³×C₇	—	4	2	no	—
313	C₂³×C₇	—	8	16	no	—
314	C₂³×C₇	#135	1	4	yes	—
315	C₂³×C₇	AGL(1,ℤ/8)	1	4	yes	—
316	C₂³×C₇	C₂²×D₄	1	2	yes	—
317	C₂³×C₇	C₂²×D₄	1	2	yes	—
318	C₂³×C₇	C₂²×D₄	1	2	yes	—
319	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
320	C₇×Q₈	—	2	4	no	—
321	C₇×Q₈	—	4	2	no	—
322	C₇×D₄	—	2	4	no	—
323	C₇×D₄	—	2	4	no	—
324	C₇×D₄	—	2	4	no	—
325	C₇×D₄	—	4	8	no	—
326	C₇×D₄	—	4	16	no	—
327	C₇×D₄	—	4	8	no	—
328	C₇×D₄	—	4	8	no	—
329	C₇×D₄	—	4	8	no	—
330	C₇×D₄	—	4	16	no	—
331	C₇×D₄	—	4	4	no	—
332	C₇×D₄	—	4	2	no	—
333	C₂×C₄×C₇	—	2	2	no	—
334	C₂×C₄×C₇	—	2	2	no	—
335	C₂×C₄×C₇	—	2	2	no	—
336	C₂×C₄×C₇	—	2	4	no	—
337	C₂×C₄×C₇	—	2	4	no	—
338	C₂×C₄×C₇	—	2	4	no	—
339	C₂×C₄×C₇	—	2	4	no	—
340	C₂×C₄×C₇	—	2	4	no	—
341	C₂×C₄×C₇	—	2	4	no	—
342	C₂×C₄×C₇	—	2	2	no	—
343	C₂×C₄×C₇	—	2	2	no	—
344	C₂×C₄×C₇	—	2	2	no	—
345	C₂×C₄×C₇	—	2	4	no	—
346	C₂×C₄×C₇	—	4	4	no	—
347	C₂×C₄×C₇	—	4	4	no	—
348	C₂×C₄×C₇	—	4	4	no	—
349	C₂×C₄×C₇	—	4	8	no	—
350	C₂×C₄×C₇	—	4	8	no	—
351	C₂×C₄×C₇	—	4	2	no	—
352	C₂×C₄×C₇	—	4	2	no	—
353	C₂×C₄×C₇	—	4	4	no	—
354	C₂×C₄×C₇	—	4	2	no	—
355	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
356	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
357	C₂×C₄×C₇	C₂²×D₄	1	2	yes	—
358	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
359	C₂×C₄×C₇	H(5,𝔽₂)	1	4	yes	—
360	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
361	C₇×C₈	—	2	4	no	—
362	C₇×C₈	—	2	4	no	—
363	C₂⁵	—	2	1	no	—
364	C₂⁵	C₇×D₄	1	1	yes	characteristic
365	C₂×#41	—	2	2	no	—
366	C₂×#41	—	4	4	no	—
367	C₂×#41	C₂³×C₇	1	4	yes	complemented
368	C₂²×Q₈	C₂³×C₇	1	1	yes	characteristic
369	C₂²×D₄	—	2	1	no	—
370	C₂²×D₄	—	2	1	no	—
371	C₂²×D₄	—	2	1	no	—
372	C₂²×D₄	—	2	2	no	—
373	C₂²×D₄	—	2	2	no	—
374	C₂²×D₄	—	2	8	no	—
375	C₂²×D₄	—	2	1	no	—
376	C₂²×D₄	—	2	2	no	—
377	C₂²×D₄	—	4	4	no	—
378	C₂²×D₄	—	4	8	no	—
379	C₂²×D₄	C₂³×C₇	1	2	yes	—
380	C₂²×D₄	C₂³×C₇	1	1	yes	characteristic
381	C₂²×D₄	C₂³×C₇	1	4	yes	—
382	C₂³×C₄	—	2	1	no	—
383	C₂³×C₄	—	2	1	no	—
384	C₂³×C₄	—	4	4	no	—
385	C₂³×C₄	C₇×D₄	1	1	yes	characteristic
386	C₂³×C₄	C₇×D₄	1	1	yes	characteristic
387	C₂³×C₄	C₇×D₄	1	1	yes	characteristic
388	C₂³×C₄	C₇×D₄	1	4	yes	—
389	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
390	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
391	C₂³×C₄	C₂³×C₇	1	1	yes	characteristic
392	C₂³×C₄	C₂³×C₇	1	4	yes	—
393	C₂×SD₁₆	—	4	4	no	—
394	C₂×SD₁₆	C₂³×C₇	1	8	yes	complemented
395	C₂×D₈	—	4	4	no	—
396	C₂×D₈	C₂³×C₇	1	8	yes	complemented
397	C₂²×C₈	—	4	4	no	—
398	C₂²×C₈	C₂³×C₇	1	2	yes	—
399	C₂²×C₈	C₂³×C₇	1	2	yes	—
400	C₂²×C₈	C₂³×C₇	1	8	yes	complemented
401	#123	—	2	8	no	—
402	C₂²⋊Q₈	—	2	2	no	—
403	C₂²⋊Q₈	—	2	2	no	—
404	C₂²⋊Q₈	C₂³×C₇	1	4	yes	—
405	C₂²⋊Q₈	C₂³×C₇	1	4	yes	complemented
406	#121	—	2	4	no	—
407	#121	—	2	4	no	—
408	#121	—	2	8	no	—
409	#121	—	2	8	no	—
410	#121	—	2	2	no	—
411	#121	—	2	2	no	—
412	#121	C₂³×C₇	1	8	yes	—
413	#121	C₂³×C₇	1	8	yes	—
414	#121	C₂³×C₇	1	4	yes	—
415	#121	C₂³×C₇	1	4	yes	complemented
416	#120	—	2	8	no	—
417	C₄×D₄	—	2	8	no	—
418	C₄×D₄	—	2	8	no	—
419	#117	—	2	2	no	—
420	#117	C₂³×C₇	1	4	yes	complemented
421	C₂×C₄⋊C₄	—	2	1	no	—
422	C₂×C₄⋊C₄	—	2	2	no	—
423	C₂×C₄⋊C₄	—	2	1	no	—
424	C₂×C₄⋊C₄	—	2	1	no	—
425	C₂×C₄⋊C₄	C₂³×C₇	1	2	yes	—
426	C₂×C₄⋊C₄	C₂³×C₇	1	4	yes	—
427	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
428	C₂×C₄⋊C₄	C₂³×C₇	1	1	yes	characteristic
429	C₂×C₂²⋊C₄	—	2	1	no	—
430	C₂×C₂²⋊C₄	—	2	1	no	—
431	C₂×C₂²⋊C₄	—	2	1	no	—
432	C₂×C₂²⋊C₄	—	2	2	no	—
433	C₂×C₂²⋊C₄	—	2	2	no	—
434	C₂×C₂²⋊C₄	—	2	8	no	—
435	C₂×C₂²⋊C₄	—	2	1	no	—
436	C₂×C₂²⋊C₄	—	2	1	no	—
437	C₂×C₄²	—	2	1	no	—
438	#107	C₂³×C₇	1	8	yes	complemented
439	#106	C₂³×C₇	1	8	yes	complemented
440	#103	C₂³×C₇	1	8	yes	complemented
441	#102	C₂³×C₇	1	8	yes	complemented
442	#102	C₂³×C₇	1	8	yes	complemented
443	#102	C₂³×C₇	1	8	yes	complemented
444	C₂²⋊C₈	C₂³×C₇	1	4	yes	—
445	C₂²⋊C₈	C₂³×C₇	1	4	yes	—
446	C₂²⋊C₈	C₂³×C₇	1	8	yes	complemented
447	C₂²×C₇	—	2	8	no	—
448	C₂²×C₇	—	2	8	no	—
449	C₂²×C₇	—	2	2	no	—
450	C₂²×C₇	—	2	2	no	—
451	C₂²×C₇	—	2	2	no	—
452	C₂²×C₇	—	2	2	no	—
453	C₂²×C₇	—	2	2	no	—
454	C₂²×C₇	—	2	2	no	—
455	C₂²×C₇	—	2	2	no	—
456	C₂²×C₇	—	4	16	no	—
457	C₂²×C₇	—	4	4	no	—
458	C₂²×C₇	—	4	2	no	—
459	C₂²×C₇	—	4	4	no	—
460	C₂²×C₇	—	4	2	no	—
461	C₂²×C₇	—	4	4	no	—
462	C₂²×C₇	—	4	4	no	—
463	C₂²×C₇	—	4	2	no	—
464	C₂²×C₇	—	8	16	no	—
465	C₂²×C₇	—	8	4	no	—
466	C₂²×C₇	—	8	8	no	—
467	C₂²×C₇	#534	1	2	yes	—
468	C₂²×C₇	C₂×#135	1	4	yes	—
469	C₂²×C₇	C₂×#135	1	2	yes	—
470	C₂²×C₇	C₂×AGL(1,ℤ/8)	1	4	yes	—
471	C₂²×C₇	C₂×AGL(1,ℤ/8)	1	2	yes	—
472	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
473	C₄×C₇	—	2	2	no	—
474	C₄×C₇	—	2	2	no	—
475	C₄×C₇	—	2	2	no	—
476	C₄×C₇	—	4	2	no	—
477	C₄×C₇	—	4	2	no	—
478	C₄×C₇	—	4	4	no	—
479	C₄×C₇	—	4	2	no	—
480	C₄×C₇	#534	1	2	yes	—
481	C₄×C₇	C₂×H(5,𝔽₂)	1	2	yes	—
482	C₂⁴	—	2	4	no	—
483	C₂⁴	—	2	4	no	—
484	C₂⁴	—	2	1	no	—
485	C₂⁴	—	2	4	no	—
486	C₂⁴	—	2	2	no	—
487	C₂⁴	—	4	2	no	—
488	C₂⁴	—	4	4	no	—
489	C₂⁴	—	4	4	no	—
490	C₂⁴	—	4	4	no	—
491	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
492	C₂⁴	C₂×C₇×D₄	1	4	yes	—
493	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
494	C₂⁴	C₂×C₇×D₄	1	1	yes	characteristic
495	#41	—	4	8	no	—
496	#41	—	4	8	no	—
497	C₂×Q₈	—	2	1	no	—
498	C₂×Q₈	—	2	4	no	—
499	C₂×Q₈	C₂⁴×C₇	1	2	yes	—
500	C₂×D₄	—	2	4	no	—
501	C₂×D₄	—	2	4	no	—
502	C₂×D₄	—	2	4	no	—
503	C₂×D₄	—	2	8	no	—
504	C₂×D₄	—	2	8	no	—
505	C₂×D₄	—	2	4	no	—
506	C₂×D₄	—	2	2	no	—
507	C₂×D₄	—	2	1	no	—
508	C₂×D₄	—	2	4	no	—
509	C₂×D₄	—	2	4	no	—
510	C₂×D₄	—	2	4	no	—
511	C₂×D₄	—	4	8	no	—
512	C₂×D₄	—	4	4	no	—
513	C₂×D₄	—	4	8	no	—
514	C₂×D₄	—	4	32	no	—
515	C₂×D₄	—	4	8	no	—
516	C₂×D₄	—	4	4	no	—
517	C₂×D₄	—	4	4	no	—
518	C₂×D₄	—	4	8	no	—
519	C₂×D₄	—	4	4	no	—
520	C₂×D₄	C₂⁴×C₇	1	4	yes	—
521	C₂×D₄	C₂⁴×C₇	1	2	yes	—
522	C₂²×C₄	—	2	4	no	—
523	C₂²×C₄	—	2	4	no	—
524	C₂²×C₄	—	2	4	no	—
525	C₂²×C₄	—	2	1	no	—
526	C₂²×C₄	—	2	1	no	—
527	C₂²×C₄	—	2	1	no	—
528	C₂²×C₄	—	2	4	no	—
529	C₂²×C₄	—	2	2	no	—
530	C₂²×C₄	—	2	4	no	—
531	C₂²×C₄	—	4	8	no	—
532	C₂²×C₄	—	4	8	no	—
533	C₂²×C₄	—	4	2	no	—
534	C₂²×C₄	—	4	2	no	—
535	C₂²×C₄	—	4	2	no	—
536	C₂²×C₄	—	4	4	no	—
537	C₂²×C₄	—	4	4	no	—
538	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
539	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
540	C₂²×C₄	C₂×C₇×D₄	1	1	yes	characteristic
541	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
542	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
543	C₂²×C₄	C₂×C₇×D₄	1	2	yes	—
544	C₂²×C₄	C₂×C₇×D₄	1	4	yes	—
545	C₂²×C₄	C₂×C₇×D₄	1	4	yes	—
546	C₂²×C₄	C₂×C₇×D₄	1	4	yes	—
547	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
548	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
549	C₂²×C₄	C₂⁴×C₇	1	2	yes	—
550	C₂²×C₄	C₂⁴×C₇	1	1	yes	characteristic
551	SD₁₆	—	4	8	no	—
552	D₈	—	4	8	no	—
553	C₂×C₈	—	2	4	no	—
554	C₂×C₈	—	2	4	no	—
555	C₂×C₈	—	4	8	no	—
556	C₂×C₈	C₂⁴×C₇	1	4	yes	—
557	C₂×C₈	C₂⁴×C₇	1	4	yes	—
558	C₄⋊C₄	—	2	4	no	—
559	C₄⋊C₄	—	2	2	no	—
560	C₄⋊C₄	—	2	4	no	—
561	C₄⋊C₄	—	2	4	no	—
562	C₄⋊C₄	—	2	1	no	—
563	C₄⋊C₄	—	2	1	no	—
564	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
565	C₄⋊C₄	C₂⁴×C₇	1	2	yes	—
566	C₄⋊C₄	C₂⁴×C₇	1	4	yes	—
567	C₂²⋊C₄	—	2	4	no	—
568	C₂²⋊C₄	—	2	4	no	—
569	C₂²⋊C₄	—	2	4	no	—
570	C₂²⋊C₄	—	2	8	no	—
571	C₂²⋊C₄	—	2	8	no	—
572	C₂²⋊C₄	—	2	4	no	—
573	C₂²⋊C₄	—	2	4	no	—
574	C₄²	—	2	4	no	—
575	C₂×C₇	—	2	4	no	—
576	C₂×C₇	—	2	4	no	—
577	C₂×C₇	—	4	2	no	—
578	C₂×C₇	—	8	2	no	—
579	C₂×C₇	—	8	4	no	—
580	C₂×C₇	#3188	1	4	yes	direct product factor
581	C₂×C₇	C₂×#534	1	1	yes	characteristic
582	C₂×C₇	C₂²×#135	1	1	yes	characteristic
583	C₂×C₇	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
584	C₂³	—	2	2	no	—
585	C₂³	—	2	2	no	—
586	C₂³	—	2	2	no	—
587	C₂³	—	2	2	no	—
588	C₂³	—	2	2	no	—
589	C₂³	—	2	8	no	—
590	C₂³	—	2	2	no	—
591	C₂³	—	2	8	no	—
592	C₂³	—	2	2	no	—
593	C₂³	—	2	2	no	—
594	C₂³	—	2	4	no	—
595	C₂³	—	4	4	no	—
596	C₂³	—	4	16	no	—
597	C₂³	—	4	8	no	—
598	C₂³	—	4	8	no	—
599	C₂³	—	4	2	no	—
600	C₂³	—	4	4	no	—
601	C₂³	—	4	2	no	—
602	C₂³	—	4	8	no	—
603	C₂³	—	4	4	no	—
604	C₂³	—	4	4	no	—
605	C₂³	—	4	2	no	—
606	C₂³	—	8	16	no	—
607	C₂³	C₇×#135	1	4	yes	—
608	C₂³	C₇×AGL(1,ℤ/8)	1	4	yes	—
609	C₂³	C₂²×C₇×D₄	1	2	yes	—
610	C₂³	C₂²×C₇×D₄	1	2	yes	—
611	C₂³	C₂²×C₇×D₄	1	2	yes	—
612	C₂³	C₂²×C₇×D₄	1	1	yes	characteristic
613	Q₈	—	2	4	no	—
614	Q₈	—	4	2	no	—
615	D₄	—	2	4	no	—
616	D₄	—	2	4	no	—
617	D₄	—	2	4	no	—
618	D₄	—	4	8	no	—
619	D₄	—	4	16	no	—
620	D₄	—	4	8	no	—
621	D₄	—	4	8	no	—
622	D₄	—	4	8	no	—
623	D₄	—	4	16	no	—
624	D₄	—	4	4	no	—
625	D₄	—	4	2	no	—
626	C₂×C₄	—	2	2	no	—
627	C₂×C₄	—	2	2	no	—
628	C₂×C₄	—	2	2	no	—
629	C₂×C₄	—	2	4	no	—
630	C₂×C₄	—	2	4	no	—
631	C₂×C₄	—	2	4	no	—
632	C₂×C₄	—	2	4	no	—
633	C₂×C₄	—	2	4	no	—
634	C₂×C₄	—	2	4	no	—
635	C₂×C₄	—	2	2	no	—
636	C₂×C₄	—	2	2	no	—
637	C₂×C₄	—	2	2	no	—
638	C₂×C₄	—	2	4	no	—
639	C₂×C₄	—	4	4	no	—
640	C₂×C₄	—	4	4	no	—
641	C₂×C₄	—	4	4	no	—
642	C₂×C₄	—	4	8	no	—
643	C₂×C₄	—	4	8	no	—
644	C₂×C₄	—	4	2	no	—
645	C₂×C₄	—	4	2	no	—
646	C₂×C₄	—	4	4	no	—
647	C₂×C₄	—	4	2	no	—
648	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
649	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
650	C₂×C₄	C₂²×C₇×D₄	1	2	yes	—
651	C₂×C₄	C₂²×C₇×D₄	1	1	yes	characteristic
652	C₂×C₄	C₇×H(5,𝔽₂)	1	4	yes	—
653	C₂×C₄	C₂⁵×C₇	1	1	yes	characteristic
654	C₈	—	2	4	no	—
655	C₈	—	2	4	no	—
656	C₇	C₂×#3188	1	1	yes	characteristic, direct product factor, Sylow
657	C₂²	—	2	2	no	—
658	C₂²	—	2	2	no	—
659	C₂²	—	2	8	no	—
660	C₂²	—	2	8	no	—
661	C₂²	—	2	2	no	—
662	C₂²	—	2	2	no	—
663	C₂²	—	2	2	no	—
664	C₂²	—	2	2	no	—
665	C₂²	—	2	2	no	—
666	C₂²	—	4	16	no	—
667	C₂²	—	4	4	no	—
668	C₂²	—	4	2	no	—
669	C₂²	—	4	4	no	—
670	C₂²	—	4	4	no	—
671	C₂²	—	4	2	no	—
672	C₂²	—	4	2	no	—
673	C₂²	—	4	4	no	—
674	C₂²	—	8	16	no	—
675	C₂²	—	8	8	no	—
676	C₂²	—	8	4	no	—
677	C₂²	C₇×#534	1	2	yes	—
678	C₂²	C₂×C₇×#135	1	4	yes	—
679	C₂²	C₂×C₇×#135	1	2	yes	—
680	C₂²	C₂×C₇×AGL(1,ℤ/8)	1	4	yes	—
681	C₂²	C₂×C₇×AGL(1,ℤ/8)	1	2	yes	—
682	C₂²	C₂³×C₇×D₄	1	1	yes	characteristic
683	C₄	—	2	2	no	—
684	C₄	—	2	2	no	—
685	C₄	—	2	2	no	—
686	C₄	—	4	2	no	—
687	C₄	—	4	4	no	—
688	C₄	—	4	2	no	—
689	C₄	—	4	2	no	—
690	C₄	C₇×#534	1	2	yes	—
691	C₄	C₂×C₇×H(5,𝔽₂)	1	2	yes	—
692	C₂	—	2	4	no	—
693	C₂	—	2	4	no	—
694	C₂	—	4	2	no	—
695	C₂	—	8	4	no	—
696	C₂	—	8	2	no	—
697	C₂	C₇×#3188	1	4	yes	direct product factor
698	C₂	C₂×C₇×#534	1	1	yes	characteristic
699	C₂	C₂²×C₇×#135	1	1	yes	characteristic
700	C₂	C₂²×C₇×AGL(1,ℤ/8)	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₇	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₇
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₇ ◁ C₂⁴×C₄×C₇ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂×C₇×#525	C₂	semidirect
2. C₂²×C₇×#121	C₂	semidirect
3. C₇×#3188	C₂	direct (N × H)
4. C₂×C₇×#484	C₂	semidirect
5. C₂×C₇×#481	C₂	semidirect
6. C₂×C₇×#482	C₂	semidirect
7. C₂×C₇×#466	C₂	semidirect
8. C₂×C₇×#465	C₂	semidirect
9. C₂×C₇×#449	C₂	semidirect
10. C₂×C₇×#450	C₂	semidirect
11. C₂×C₇×#447	C₂	semidirect
12. C₂²×C₇×C₂²⋊C₈	C₂	semidirect
13. C₂²×C₇×#41	C₂²	semidirect
17. C₂²×C₇×SD₁₆	C₂²	semidirect
18. C₂²×C₇×D₈	C₂²	semidirect
19. C₂³×C₇×C₈	C₂²	semidirect
21. C₇×#525	C₂²	semidirect
24. C₂×C₇×C₂²⋊Q₈	C₂²	semidirect
31. C₂×C₇×#121	C₂²	semidirect
32. C₂×C₇×#121	C₂²	semidirect
36. C₂×C₇×#117	C₂²	semidirect
39. C₇×#484	C₂²	semidirect
40. C₇×#482	C₂²	semidirect
41. C₇×#481	C₂²	semidirect
42. C₇×#466	C₂²	semidirect
43. C₇×#465	C₂²	semidirect
44. C₇×#450	C₂²	semidirect
45. C₇×#449	C₂²	semidirect
46. C₇×#447	C₂²	semidirect
47. C₂×C₇×#107	C₂²	semidirect
48. C₂×C₇×#106	C₂²	semidirect
49. C₂×C₇×#103	C₂²	semidirect
50. C₂×C₇×#102	C₂²	semidirect
51. C₂×C₇×#102	C₂²	semidirect
52. C₂×C₇×#102	C₂²	semidirect
55. C₂×C₇×C₂²⋊C₈	C₂²	semidirect
56. C₂×C₇×C₂²⋊C₈	C₂²	semidirect
57. C₂×#3188	C₇	direct (N × H)
62. C₂×C₇×#41	C₂³	semidirect
89. C₂×C₇×SD₁₆	C₂³	semidirect
91. C₂×C₇×D₈	C₂³	semidirect
95. C₂²×C₇×C₈	C₂³	semidirect
100. C₇×C₂²⋊Q₈	C₂³	semidirect
110. C₇×#121	C₂³	semidirect
115. C₇×#117	C₂³	semidirect
133. C₇×#107	C₂³	semidirect
134. C₇×#106	C₂³	semidirect
135. C₇×#103	C₂³	semidirect
136. C₇×#102	C₂³	semidirect
137. C₇×#102	C₂³	semidirect
138. C₇×#102	C₂³	semidirect
141. C₇×C₂²⋊C₈	C₂³	semidirect
142. C₂×#525	C₂×C₇	semidirect
143. C₂²×#121	C₂×C₇	semidirect
144. #3188	C₂×C₇	direct (N × H)
145. C₂×#484	C₂×C₇	semidirect
146. C₂×#481	C₂×C₇	semidirect
147. C₂×#482	C₂×C₇	semidirect
148. C₂×#466	C₂×C₇	semidirect
149. C₂×#465	C₂×C₇	semidirect
150. C₂×#449	C₂×C₇	semidirect
151. C₂×#450	C₂×C₇	semidirect
152. C₂×#447	C₂×C₇	semidirect
153. C₂²×C₂²⋊C₈	C₂×C₇	semidirect
247. C₂²×#41	C₂²×C₇	semidirect
251. C₂²×SD₁₆	C₂²×C₇	semidirect
252. C₂²×D₈	C₂²×C₇	semidirect
253. C₂³×C₈	C₂²×C₇	semidirect
255. #525	C₂²×C₇	semidirect
258. C₂×C₂²⋊Q₈	C₂²×C₇	semidirect
265. C₂×#121	C₂²×C₇	semidirect
266. C₂×#121	C₂²×C₇	semidirect
270. C₂×#117	C₂²×C₇	semidirect
273. #484	C₂²×C₇	semidirect
274. #482	C₂²×C₇	semidirect
275. #481	C₂²×C₇	semidirect
276. #466	C₂²×C₇	semidirect
277. #465	C₂²×C₇	semidirect
278. #450	C₂²×C₇	semidirect
279. #449	C₂²×C₇	semidirect
280. #447	C₂²×C₇	semidirect
281. C₂×#107	C₂²×C₇	semidirect
282. C₂×#106	C₂²×C₇	semidirect
283. C₂×#103	C₂²×C₇	semidirect
284. C₂×#102	C₂²×C₇	semidirect
285. C₂×#102	C₂²×C₇	semidirect
286. C₂×#102	C₂²×C₇	semidirect
289. C₂×C₂²⋊C₈	C₂²×C₇	semidirect
290. C₂×C₂²⋊C₈	C₂²×C₇	semidirect
367. C₂×#41	C₂³×C₇	semidirect
394. C₂×SD₁₆	C₂³×C₇	semidirect
396. C₂×D₈	C₂³×C₇	semidirect
400. C₂²×C₈	C₂³×C₇	semidirect
405. C₂²⋊Q₈	C₂³×C₇	semidirect
415. #121	C₂³×C₇	semidirect
420. #117	C₂³×C₇	semidirect
438. #107	C₂³×C₇	semidirect
439. #106	C₂³×C₇	semidirect
440. #103	C₂³×C₇	semidirect
441. #102	C₂³×C₇	semidirect
442. #102	C₂³×C₇	semidirect
443. #102	C₂³×C₇	semidirect
446. C₂²⋊C₈	C₂³×C₇	semidirect
580. C₂×C₇	#3188	direct (N × H)
656. C₇	C₂×#3188	direct (N × H)
697. C₂	C₇×#3188	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₇×#525	2
C₂²×C₇×#121	2
C₇×#3188	2
C₂×C₇×#484	2
C₂×C₇×#481	2
C₂×C₇×#482	2
C₂×C₇×#466	2
C₂×C₇×#465	2
C₂×C₇×#449	2
C₂×C₇×#450	2
C₂×C₇×#447	2
C₂²×C₇×C₂²⋊C₈	2
C₂×#3188	7

Subgroups — C2×C7×#3188 #13237946

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₇×#3188 #13237946